Mahfuz1469 wrote:
Quote:
(1) x+3 is a factor of 20
(2) x is divisible by 5
Statement 1: so x+3=20 or 10 or 5 or 4 or 2 or 1.
1 & 2 are not possible because x+1 can't be zero or negative. x+3 is positive even integer so 5 is not possible.
So x+3=20 or 10 or 4.
So x+1=18 or 8 or 2 and x+5=22 or 12 or 6.
For first two numbers answer is "Yes" for the last number answer is "No".
Not sufficient.
Statement 2: x=5 or 10 or 15 or 20 so on.
When x=5, x+1=6, x+3=8 & x+5=10 and answer is "Yes".
When x=10, x+1=11, x+3=13 & x+5=15 and answer is "No".
Not sufficient.
Taking 1&2 together we have no common value. So I have "E".
But the given answer is "C". Can anybody explain, please?
Thank you.
Statement (1), x can be 1,3,7, 17
when x =1, consecutive even integers will be, 2 *4 * 6 / 60, this will answer the question as No
when x =7, consecutive even integers will be , 8*10*12/ 60, this will answer the question as Yes
Statement (2), x can be 5,10
when x =5, consecutive even integers will be, 6 *8 * 10 / 60, this will answer the question as Yes
when x =10, consecutive even integers will be , 11*13*15/ 60, this will answer the question as No
I agree with your explanation about C, If there is no common value, will it make the overall question a No.(only then it can be a C)
Because there is nothing told about the magnitude of x, it can be -ive as well as +ive.
Only value to satisfy both the statements will be a negative one i.e. -5, but this value goes against the initial statement.
Would like to see an expert replying on this.